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Bulletin of the American Mathematical Society

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From Newton to Navier–Stokes, or how to connect fluid mechanics equations from microscopic to macroscopic scales


Author: Isabelle Gallagher
Journal: Bull. Amer. Math. Soc. 56 (2019), 65-85
MSC (2010): Primary 76D05, 82B40, 82C22
DOI: https://doi.org/10.1090/bull/1650
Published electronically: September 18, 2018
MathSciNet review: 3886144
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Abstract: In this survey we present an overview of some mathematical results concerning the passage from the microscopic description of fluids via Newton’s laws to the macroscopic description via the Navier–Stokes equations.


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Additional Information

Isabelle Gallagher
Affiliation: Université Paris-Diderot, Sorbonne Paris Cité, France
Address at time of publication: DMA, École Normale Suptérieure de Paris, UMR 8553, France
MR Author ID: 617258
Email: gallagher@math.ens.fr

Keywords: Kinetic equations, fluid dynamics, particle systems, Boltzmann equation, Navier–Stokes equation, Boltzmann–Grad limit, low density limit
Received by editor(s): June 11, 2018
Published electronically: September 18, 2018
Article copyright: © Copyright 2018 American Mathematical Society